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Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations

✍ Scribed by Magdalena Caubergh; Jean-Pierre Françoise

Publisher
SP Birkhäuser Verlag Basel
Year
2004
Tongue
English
Weight
246 KB
Volume
5
Category
Article
ISSN
1575-5460

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📜 SIMILAR VOLUMES

Global bifurcations of limit and separat
Global bifurcations of limit and separatrix cycles in a generalized Liénard system
✍ Valery A. Gaiko; Wim T. van Horssen 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 182 KB

We construct a canonical cubic dynamical system of Kukles type and carry out the global qualitative analysis of its special case corresponding to a generalized Liénard equation. In particular, we prove that the foci of such a Liénard system can be at most of second order, and that this particular sy